Multi-taper S-transform method for estimating Wigner-Ville and Loève spectra of quasi-stationary harmonizable processes

verfasst von: Zifeng Huang, Guan Chen, Michael Beer
Abstract: Current non-stationary load models based on the evolutionary power spectral density (EPSD) may lead to overestimation and ambiguity of structural responses. The quasi-stationary harmonizable process with its Wigner-Ville spectrum (WVS) and Loève spectrum, which do not suffer from the deficiencies of EPSD, is suitable for modeling non-stationary loads and analyzing their induced structural responses. In this study, the multi-taper S-transform (MTST) method for estimating WVS and Loève spectrum of multi-variate quasi-stationary harmonizable processes is presented. The analytical biases and variances of the WVS, Loève spectrum, and time-invariant and time-varying coherence estimators from the MTST method are provided under the assumption that the target multi-variate harmonizable process is Gaussian. Using a numerical case of a bivariate harmonizable wind speed process, the superiority and reliability of the MTST method are demonstrated through comparisons with several existing methods for the WVS and Loève spectrum estimations. Finally, the MTST method is applied to two pieces of ground motion acceleration records measured during the Turkey earthquake in 2023.
Organisationseinheit(en): Institut für Risiko und Zuverlässigkeit
Externe Organisation(en): The University of Liverpool
Tongji University
Typ: Artikel
Journal: Mechanical Systems and Signal Processing
Band: 206
Anzahl der Seiten: 32
ISSN: 0888-3270
Publikationsdatum: 01.01.2024
Publikationsstatus: Veröffentlicht
Peer-reviewed: Ja
ASJC Scopus Sachgebiete: Steuerungs- und Systemtechnik, Signalverarbeitung, Tief- und Ingenieurbau, Luft- und Raumfahrttechnik, Maschinenbau, Angewandte Informatik
Elektronische Version(en): https://doi.org/10.1016/j.ymssp.2023.110880 (Zugang: Offen)

BibTeX

@article{4cc0d2b6eb274c64853ab5ab2e64bd88,
title = "Multi-taper S-transform method for estimating Wigner-Ville and Lo{\`e}ve spectra of quasi-stationary harmonizable processes",
abstract = "Current non-stationary load models based on the evolutionary power spectral density (EPSD) may lead to overestimation and ambiguity of structural responses. The quasi-stationary harmonizable process with its Wigner-Ville spectrum (WVS) and Lo{\`e}ve spectrum, which do not suffer from the deficiencies of EPSD, is suitable for modeling non-stationary loads and analyzing their induced structural responses. In this study, the multi-taper S-transform (MTST) method for estimating WVS and Lo{\`e}ve spectrum of multi-variate quasi-stationary harmonizable processes is presented. The analytical biases and variances of the WVS, Lo{\`e}ve spectrum, and time-invariant and time-varying coherence estimators from the MTST method are provided under the assumption that the target multi-variate harmonizable process is Gaussian. Using a numerical case of a bivariate harmonizable wind speed process, the superiority and reliability of the MTST method are demonstrated through comparisons with several existing methods for the WVS and Lo{\`e}ve spectrum estimations. Finally, the MTST method is applied to two pieces of ground motion acceleration records measured during the Turkey earthquake in 2023.",
keywords = "Harmonizable process, Lo{\`e}ve spectrum, MTST method, Time-varying coherence, Wigner-Ville spectrum",
author = "Zifeng Huang and Guan Chen and Michael Beer",
note = "Funding Information: The works described in this paper are financially supported by the Alexander von Humboldt Foundation , to which the authors are most grateful. Any opinions and conclusions presented in this paper are entirely those of the authors. ",
year = "2024",
month = jan,
day = "1",
doi = "10.1016/j.ymssp.2023.110880",
language = "English",
volume = "206",
journal = "Mechanical Systems and Signal Processing",
issn = "0888-3270",
publisher = "Academic Press Inc.",
}